A rectangular dog pen is constructed using a barn wall as one side and 60m of fencing for the other three sides. Find the dimensions of the pen that.

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A rectangular dog pen is constructed using a barn wall as one side and 60m of fencing for the other three sides. Find the dimensions of the pen that give the greatest area. barn wall x x 60 – 2x

Volume (Example #3) Squares with sides of length x are cut from the corners of a rectangular piece of sheet metal with dimensions of 6 in. and 10 in. The metal is then folded to make an open-top box. What is the maximum volume of such a box? The dimensions of the box are: height = x; length = 10 – 2x; width = 6 – 2x x must be between 0 and 3 x ~ 1.2 so the maximum volume is ~32.8in. 3